hw 4
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Department of Electrical EngineeringThe City College of The City University of New York (CCNY)
ENGR 103 Computer-Aided Analysis Tools for EngineersSpring 2015
Dr. NidalKhrais
Lab Instructor/Teaching Assistance: Dr. SasanthiPeiris
Lab 4 Tasks: Functions and Files
Due 03/31 (Tuesday Classes)
Due 04/02 (Thursday Classes)
Task 1.For three values of x and y, confirm that ln (xy) = ln x + ln y.
Task 2.Find the magnitude, angle, real part, and imaginary part of the Number
Task 3.For three values of x, confirm that eix=cos x+i sin x
Task 4.For three values of x in the range 0≤x≤2π confirm that sin−1 x+cos−1 x=π /2
Task 5.For three values of x in the range 0≤x≤2π confirm that
tan(2x )=2 tan x /(1−tan2 x )
Task 6.For three values of x in the range0≤x≤5 , confirm that sin(ix) =isinhx.
Task 7.For three values of x in the range −10≤x≤10 , confirm that
Task 8.The equation has four solutions in the interval -5 < x < 5. Find these four solutions.
Task 9.The function has two minimum points in the interval -5 < x < 10. Find the values of x and y at each minimum.